Journal of Formalized Mathematics
Volume 8, 1996
University of Bialystok
Copyright (c) 1996 Association of Mizar Users

## Miscellaneous Facts about Relation Structure

Agnieszka Julia Marasik
Warsaw University, Bialystok

### Summary.

In the article notation and facts necessary to start with formalization of continuous lattices according to [5] are introduced.

This work was partially supported by the Office of Naval Research Grant N00014-95-1-1336.

#### MML Identifier: YELLOW_5

The terminology and notation used in this paper have been introduced in the following articles [1] [3] [4] [2] [6]

#### Contents (PDF format)

1. Introduction
2. Difference in Relation Structure
3. Lower-bound in Relation Structure
4. Boolean Lattices

#### Bibliography

[1] Grzegorz Bancerek. Complete lattices. Journal of Formalized Mathematics, 4, 1992.
[2] Grzegorz Bancerek. Bounds in posets and relational substructures. Journal of Formalized Mathematics, 8, 1996.
[3] Grzegorz Bancerek. Directed sets, nets, ideals, filters, and maps. Journal of Formalized Mathematics, 8, 1996.
[4] Czeslaw Bylinski. Galois connections. Journal of Formalized Mathematics, 8, 1996.
[5] G. Gierz, K.H. Hofmann, K. Keimel, J.D. Lawson, M. Mislove, and D.S. Scott. \em A Compendium of Continuous Lattices. Springer-Verlag, Berlin, Heidelberg, New York, 1980.
[6] Wojciech A. Trybulec. Partially ordered sets. Journal of Formalized Mathematics, 1, 1989.